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Finding the Fourth Proportional to 61,752.85, 85,217.82 and 34,894.78

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Solution

The fourth proportional to 61,752.85, 85,217.82 and 34,894.78 is: 48,154.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,752.85 : 85,217.82 = 34,894.78 : x
  2. Step 2: Convert to fraction form
    61,752.85/85,217.82 = 34,894.78/x
  3. Step 3: Cross multiply
    61,752.85x = 85,217.82 × 34,894.78
  4. Step 4: Simplify right side
    61,752.85x = 2,973,657,080.98
  5. Step 5: Solve for x
    x = 2,973,657,080.98/61,752.85
  6. Step 6: Final answer
    x = 48,154.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.